Finding the Third Proportional to 35,932 and 54,398

Step by Step Solution

1. Step 1: Write the proportion equation
   35,932 : 54,398 = 54,398 : x
2. Step 2: Convert to fraction form
   35,932/54,398 = 54,398/x
3. Step 3: Cross multiply
   35,932x = 54,398 × 54,398
4. Step 4: Simplify right side
   35,932x = 2,959,142,404
5. Step 5: Solve for x
   x = 2,959,142,404/35,932
6. Step 6: Final answer
   x = 82,353.96